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Answer:
Kindly check explanation
Explanation:
Given the following information :
Distance between Angela and Blake = 15m
Angela's speed = 5m/s at t = 0
Angela's direction = Right = positive
Blake's speed = 3m/s at t = 0
Blake's direction = left = negative
Position or distance = speed × time
Hence,
Combined speed = (3 + 5) = 8m/s
Distance = 15m
Time = distance / speed
Time = 15 / 8
Time they meet = 1.875 seconds
Distance covered by Angela :
Speed × time
= 5 × 1.875 = 9.375 meters
The equation for the distance traveled by Angela is 5t and the distance covered by Angela is 9.375 m.
The given parameter:
- the distance between Angela and Blake = 15 m
- speed of Angela, [tex]V_A[/tex] = 5 m/s
- speed of Blake, [tex]V_B[/tex] = 3 m/s
let the time at which Angela and Blake meet = t
The equation for the distance traveled by Angela = 5t
The time (t) at which Angela and Blake meet will be calculated using relative velocity concept:
since they are closing the distance together, we will add their velocities
(i.e they are working together and not against each other)
[tex](V_A +V_B) t = 15\\\\(5 + 3) t = 15\\\\8t = 15\\\\t = \frac{15}{8} \\\\t = 1.875 \ s[/tex]
The distance covered by Angela = 1.875 s x 5 m/s = 9.375 m
The distance covered by Blake = 1.875 x 3 m/s = 5.625 m
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